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Finding the Fourth Proportional to 305.21, 457.64 and 120.17

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Solution

The fourth proportional to 305.21, 457.64 and 120.17 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.21 : 457.64 = 120.17 : x
  2. Step 2: Convert to fraction form
    305.21/457.64 = 120.17/x
  3. Step 3: Cross multiply
    305.21x = 457.64 × 120.17
  4. Step 4: Simplify right side
    305.21x = 54,991.71
  5. Step 5: Solve for x
    x = 54,991.71/305.21
  6. Step 6: Final answer
    x = 180.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.